Answer:
Step-by-step explanation:
a)
S=31000+1500Y
Where S is salary and Y is # of years
b)
Salary in 5 years;
=31000+1500(5)
=31000+7500
=38500
Probability is the extent to which an event is likely to occur. It is the likelihood of sth to happen.
In maths it is measured by the ratio of the favourable cases to the whole number of cases possible.
For instance
there are 5 black balls and 2 white balls of same shape and size.
If you picked one out of a bag it is more likely for you to pick a black one rather than a white one as it has more in number.
So black balls have more probability.
And to find out probability of this above given event,
Sample space n(S) = 5+2 = 7
No. Of black balls n(B) = 5
No. Of white balls n(W) = 2
Probability of black ball p(B) = n(B)/n(S)
=5/7
And in the same way, p(W) = 2/7
Ratio equivalent to 2:9 is 4:18, 6:27
If you multiply the same number to both numbers, the ratio would always be the same.
Answer:
x = 8
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180°
That being said we can create an equation to solve for x
( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )
180 = 90 + 5x + 5 + 5x + 5
now we solve for x using basic algebra
step 1 combine like terms
90 + 5 + 5 = 100
5x + 5x = 10
now we have 180 = 100 + 10x
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 10x = 80
step 3 divide each side by 10
10x / 10 = x
80 / 10 = 8
we're left with x = 8
20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140
140 is the smallest number they have in common.